The density of lead is 11,300 kg/\(m^3\), which means that lead is a dense material with a significant mass per unit volume.
To find the density of lead, we can use the formula:
Density = Mass / Volume
Given that the mass of lead is 3,390 kg and the volume is 0.3 \(m^3\), we can substitute these values into the formula:
Density = 3,390 kg / 0.3\(m^3\)
To simplify the calculation, we divide the mass by the volume:
Density = 11,300 kg/\(m^3\)
Therefore, the density of lead is 11,300 kg/\(m^3\).
Density is a physical property of a substance that describes how much mass is packed into a given volume. In this case, the density of lead tells us that for every cubic meter of lead, there are 11,300 kilograms of mass.
It is important to note that the density of lead is a characteristic property and remains constant regardless of the size or shape of the sample. It is a useful parameter in various scientific and industrial applications.
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The question probable may be:
If 3,390 kg of lead occupy a volume of 0.3 m^3, find the density of lead.
On Marlene's trip to Starved Rock, her average rate of speed for the entire five-hour trip was 62 miles per hour. For the first two hours of her trip, she kept her average speed at 50 miles per hour. Then she realized she was going to be late to meet her friend for dinner, so she started driving faster. What was her average speed for the last three hours of the trip?
Answer:
70 miles per hour
Step-by-step explanation:
Distance = speed * time
speed = distance / time
------------------------------
Total Distance
speed = 62
time = 5
62 * 5 = 310 miles
Distance travelled in first 2 hours
speed = 50
time = 2
50 * 2 = 100 miles
Remaining distance
310 - 100 = 210 miles
Speed to cover 210 miles in 3 hours
distance = 210
time = 3
210/3 = 70 miles per hour
A study at an amusement park found that, of 10,000 families at the park, 1430 had brought one child, 2120 had brought two children, 2560 had brought three children, 1610 had brought four children, 1060 had brought five children, 510 had brought six children, and 710 had not brought any children.
Answer:
what is the question? but I will answer it
I need help with this question: Label: Coefficients, variables, terms, and constant. −2x2 + 9x − 3
Answer:
coefficients: {-2, +9, -3}
variables: {x}
terms: {-2x^2, 9x, -3}
constant: {-3}
Step-by-step explanation:
It is difficult to "label" here, so we'll list each, separated by commas.
Coefficients
Coefficients are the multiplicative factor of an expression. Depending on the expression of interest, it may consist of numbers, variables, or expressions. Here, we consider the expression of interest to be powers of x, so the coefficients are as listed. The last one (-3) is sometimes called a "constant coefficient." It multiplies x^0.
coefficients: {-2, +9, -3}
Variables
A variable is usually a letter, symbol, or sequence of letters and symbols, that stands for something else--usually an unknown quantity. Its meaning and value will depend on the context. Generic variables are usually taken from the end of the alphabet: x, y, z. Their capitalization, font, or face may give special meaning. For example bold-face capital letters may be used to represent vectors or matrices.
variables: {x}
Terms
A term is a product of coefficients and variables. Terms in a polynomial are separated by addition or subtraction symbols.
terms: {-2x^2, 9x, -3}
Constant
"Constant" usually refers to a term containing no variables. It generally refers to a value that doesn't change.
constant: {-3}
Consider the sequence: 7, 13, 19, 25, 31,…
Which expression describes this sequence, using n
to represent the position of a term in the sequence, where n=1
for the first term?
The full expression is 6n+1. We can find the solution of the given sequence in the following manner.
First take the differences: 13–7 = 19–13 = 25–19 = 31–25 = 6. So, we know there is a 6n in the expression. Then subtract 6n from each term: 7–6 = 13–12 = 19–18 = 25–24 = 31–30 = 1.
Reduce the size, number, or amount of something else by taking (something) away from it is called subtraction. Subtraction is the activity or procedure of determining the difference between two amounts or numbers. The phrase "taking away one number from another" is also used to describe the act of subtracting one number from another. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation. A minuend is the first number in a subtraction process since it is the number from which we subtract another integer in a subtraction phrase.
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A big cargo box measures 12 m by 6 m by 5 m. How many small boxes of 40 cm by 25 cm by 10 cm can be put into the cargo box?
Given : Big cargo box measures 12m x 6m x 5m
Volume of the Box : Length x Breadth x Height
Volume of the Big cargo box : (12 × 6 × 5) = 360 m³
We know that : 1m = 100cm
Volume of the Big cargo box : 360 (100cm)³
Volume of the Big cargo box : 360 × 100³ × cm³
Given : Small box measures 40cm x 25cm x 10cm
Volume of the Small box : (40 × 25 × 10) = 10000 cm³
Small boxes which can be put into Big cargo box :
\(\bigstar \ \ \boxed{\dfrac{\textsf{Volume of the Big cargo box}}{\textsf{Volume of one small box}}}\)
\(\sf{\implies \dfrac{360 \times 100^{3}}{10000}}\)
\(\sf{\implies {36000}\)
Answer : 36000 small boxes can be put into Big cargo box
20% of what numbner is 100
Answer:
The number is 500.
Step-by-step explanation:
Let n be the number
Convert percent to decimal
20% = 0.20
0.20n = 100
Divide both sides of the equation by 0.20
0.20n/0.20 = 100/0.20
n = 500
Write the percent as fraction or mixed number in simplest form 34%
Answer: 34/100
Step-by-step explanation:
it is 34% out of 100, so it is 34/100. Reduced is 17/50
A random sample of n measurements was selected from a population with unknown mean and standard deviation o = 20 for each of the situations in parts a through d. Calculate a 95% confidence interval for ju for each of these situations. a. n=70, X = 27 b. n = 150, x= 115 c. n= 80. x = 18 d. n = 80, x=5.33
The 95% confidence interval for this situation is (0.95, 9.71).
What is the Standard deviation?
The standard deviation of a random variable, sample, statistical population, data set, or probability distribution is the square root of its variance.
The formula for Confidence Interval for Population Mean When Population Standard deviation is known
\(\bar{x} \pm Z_{a/2} * \frac{\sigma}{\sqrt{n} }\)
α for 95% confidence level = (100-95)/100 =0.05
\(Z_{\alpha/2}\) = 0.05/2=0.025
\(Z_{\alpha/2}\) = Z0.025 = 1.96
σ = 20
95% Confidence Interval for Population Mean When Population Standard deviation is known
\(\bar{x} \pm 1.96* \frac{20}{\sqrt{n} }\)
a.
n=70 ; \(\overline{x}=27\)
\(\bar{x} \pm 1.96* \frac{20}{\sqrt{n} }\)
27 ± 1.96 × (20/√70)
= 27 + 1.96 x 2.3905
= 27 + 4.6853 = (22.31.31.69)
(22.31, 31.69)
b.
n=150 ; \(\overline{x}=115\)
\(\bar{x} \pm 1.96* \frac{20}{\sqrt{n} }\)
= 115 + 1.96 x
= 115 +1.96 x 1.633 = 115 + 3.2007 = (111.8, 118.2)
(111.8, 118.2)
c.
n=80 , \(\overline{x}=18\)
\(\bar{x} \pm 1.96* \frac{20}{\sqrt{n} }\)
= 18 + 1.96 x 2.2361 = 18 + 4.3827 = (13.62.22.38) V8018+
(13.62, 22.38)
d.
n=80, \(\overline{x}=5.33\)
\(\bar{x} \pm 1.96* \frac{20}{\sqrt{n} }\)
= 5.33 1.96 x 2.2361 = 5.33 4.3827 = (0.95, 9.71)
(0.95, 9.71)
e.
No. Since Sample sizes are large \((n\small \geq30)\) and randomly selected from the target population, the condition guarantees that the sampling distribution of \(\overline{x}\) is approximately normal.
Hence, the 95% confidence interval for this situation is (0.95, 9.71).
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Which equations are true for x = –2 and x = 2? Select two options
x2 – 4 = 0
x2 = –4
3x2 + 12 = 0
4x2 = 16
2(x – 2)2 = 0
Answer:
x^2 – 4 = 0 AND 4x^2 = 16
Step-by-step explanation:
a) x^2 – 4 = 0 --> (x + 2)(x - 2)=0 --> x= -2 AND x= +2
b) x^2 = -4 doesn't have any solution in the real numbers.
c) 3x^2 +12 = 0 -->(divide by 3)--> x^2 +4 =0 ---> x^2 = -4 as b)
d) 4x^2 = 16 -->(divide by 4)--> x^2 = 4 --> x^2 -4 = 0 as a)
e) 2(x -2)^2 =0 -->(divide by 2)--> (x-2)^2 =0 --> one solution that is x=+2
is - 5/1 a integer?
Which product will be neither positive nor negative?
Answer:
C. -13x0
Step-by-step explanation:
-13x0 will not give you a negative or positive number. This is because any number time 0 gives you 0, and zero is the only number that is neither positive nor negative. Every other expression will give you a nonzero number, which must be positive or negative.
Solve the triangle. Round your answers to the nearest tenth. 27 degrees
Sorry never mind! Got it! Can’t delete!
One angle measure provided (27 degrees), to determine the lengths of the sides or the measures of the other Angles.
The triangle, we need more information about the triangle, such as the lengths of the sides or the measures of other angles. The given information, "27 degrees," only specifies one angle of the triangle, but it is not sufficient to solve the triangle completely.
To solve a triangle, we typically need at least three pieces of information, which can include side lengths, angle measures, or a combination of both. With only one angle measure provided (27 degrees), we are unable to determine the lengths of the sides or the measures of the other angles.
To fully solve the triangle, we would need additional information such as the lengths of the sides or measures of at least two more angles. Without this additional information, it is not possible to provide a complete solution or determine the lengths of the sides or the measures of the other angles in the triangle.
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Answer now Thanks day was
Finals please help
Answer:
your answer is C because you need both signs going the same way
A peach grower expects to produce 13,400 peaches if a crate holds 92 peaches how many crates will the grower need?
146 crates
13,400 peaches divided by 92 per crate is roughly 145.65 crates. You can’t have part of a crate so round up to get 146 crates
x={(2,4),(3,4),(4,4),(5,4) The Range of x is
Answer:
2-5
Step-by-step explanation:
Solve the following inequality:
Answer:
\(r \geqslant - 16\)
Step-by-step explanation:
\( \frac{ - 10 + r}{2} \geqslant - 13\)
multiply both sides by 2:
\( - 10 + r \geqslant - 26\)
add 10 on both sides:
\(r \geqslant - 16\)
Answer:
\(r \ge -16\)
Step-by-step explanation:
To solve any equation/inequality:
1. get the variable to show up exactly once
2. isolate it
\(\frac{-10+r}{2} \ge -13\)
Multiply both sides by 2 and simplify (note that we're multiplying by a positive, not a negative, so the direction of the inequality stays the same, whereas multiplying or dividing by a negative would have changed the direction of the inequality)
\(\frac{-10+r}{2} *2 \ge -13 *2\)
\(-10+r \ge -26\)
Add 10 to both sides, and simplify
\((-10+r)+10 \ge (-26)+10\)
\(r \ge -16\)
Which linear function has the same y-intercept as the one that is represented by the graph?
On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.
The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).
First, let's find the slope of the line using the formula:
slope (m) = (change in y) / (change in x)
m = (0 - 4) / (5 - 3)
m = -4 / 2
m = -2
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (3, 4) as our reference point, we have:
y - 4 = -2(x - 3)
Expanding the equation:
y - 4 = -2x + 6
Simplifying:
y = -2x + 10
Now, let's check the given options to find the linear function with the same y-intercept:
Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)
The y-intercept is the same as the given line (10). So, this option is correct.
Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)
The y-intercept is not the same as the given line. So, this option is not correct.
Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
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What is the present value of R13 000 p.a. invested at the beginning of each year for 8years at 10%p.a. compound interest? (NB Use the compound interest tables provided or work to three decimal places only.)
Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:
PV = A *\((1 - (1 + r)^(-n)) / r\)
Where:
PV = Present value
A = Annual payment or cash flow
r = Interest rate per period
n = Number of periods
In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).
Using the formula and substituting the given values, we can calculate the present value:
PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)
Calculating this expression:
PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)
= 13000 * (1 - 0.46318) / 0.10
= 13000 * 0.53682 / 0.10
= 6977.66 / 0.10
= 69776.6
Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
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3. A website is offering a promotion, during which customers can buy up to 100 photos for a flat fee. The
cost per photo varies inversely with the number of photos a customer buys, as shown in the table below.
What function models the data?
To determine the function that models the data, we need to analyze the relationship between the cost per photo and the number of photos a customer buys. From the given information, we can observe that the cost per photo varies inversely with the number of photos. This implies that as the number of photos increases, the cost per photo decreases, and vice versa.
To model this relationship, we can use the inverse variation equation, which can be expressed as:
y = k/x
Here, y represents the cost per photo, x represents the number of photos, and k is the constant of variation.
Let's examine the data given in the table to find the value of k:
Number of Photos (x) Cost per Photo (y)
10 10
25 4
50 2
100 1
We can see that as the number of photos increases, the cost per photo decreases. We can use any pair of values from the table to solve for k. Let's choose the pair (50, 2):
2 = k/50
Solving for k:
k = 2 * 50 = 100
Now that we have the value of k, we can write the function that models the data:
y = 100/x
Therefore, the function that models the data is y = 100/x, where y represents the cost per photo and x represents the number of photos a customer buys.
Round £168.51 to the nearest pound
Answer:
£169
Step-by-step explanation:
because the number in the decimal immediately after 8 the integer 168, is up to or more than 5.
The required round of £168.51 to the nearest pound is £169.
Given that,
To round £168.51 to the nearest pound.
The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.
Here,
£168.51 is given in the question and asked to round is to the nearest pound, since after the decimal the number 51 is closer to the nearest zero i.e. 100,
Implies,
The nearest pound to the £168.51 is £169
Thus, the required round of £168.51 to the nearest pound is £169.
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Sheena is making invitations for her birthday party. Sheena needs to make invitations for 54 of her friends. On Friday you helped her make 1/2 of the invitations. On Saturday she worked on decorating 1/3 of the invitations you both made on Friday. How many invitations did Sheena decorate on Saturday? Show your working out
Sheena decorated 9 invitations on Saturday.
Finding the number of invitations:We are given the number of invitations made on Friday is 1/2 is a fraction. To find the number of invitations use the multiplication of fractions.
This can be done by multiplying the fraction by the total number of invitations. Similarly, we can find the number of invitations did Sheena decorate on Saturday.
Here we have
Sheena is making invitations for her birthday party. Sheena needs to make invitations for 54 of her friends.
On Friday you helped her make 1/2 of the invitations.
So the number of invitations made is:
=> 1/2 × 54 = 27 invitations
On Saturday, Sheena worked on decorating 1/3 of the invitations made on Friday, so the number of invitations she decorated is:
=> 1/3 × 27 = 9 invitations
Therefore,
Sheena decorated 9 invitations on Saturday.
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Please help. What is the solution to this system of equations using the linear combination method? {5x+y=24x+y=5 (0, 2) begin ordered pair 0 comma 2 end ordered pair. (−3, 17) begin ordered pair negative 3 comma 17 end ordered pair. (1, −8) begin ordered pair 1 comma negative 8 end ordered pair. (−2, 12)
bought for 15$ sold for 49.50, what is markup percentage?
Answer:
17.65%
Step-by-step explanation:
https://www.calculatorsoup.com/calculators/financial/markup-calculator.php?cost=49.50&margin=15&action=solve
What’s the mean of 46,57,66,63,49,52,61,68
Answer:
Step-byHow do I calculate the mean?
The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value
-step explanation:
46+57+66+63+49+52+61+68= 462/8 the total number of observation
the answer 57
Jerry earns money delivering packages for the neighborhood grocery store. In his first month his average tip
increased from $.25 to $.40. What was the percent of increase?
well, the percent increase is really 15 cents, because 0.40 - 0.25 = 0.15.
now, if we take 0.25 to be the 100%, what's 0.15 off of it in percentage?
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 0.25 & 100\\ 0.15& x \end{array} \implies \cfrac{0.25}{0.15}~~=~~\cfrac{100}{x}\implies \cfrac{~~ \frac{ 25}{100 } ~~}{\frac{15}{100}}=\cfrac{100}{x}\implies \cfrac{25}{100}\cdot \cfrac{100}{15}=\cfrac{100}{x} \\\\\\ \cfrac{5}{3}=\cfrac{100}{x}\implies 5x=300\implies x=\cfrac{300}{5}\implies x=60\)
Find the discriminant and State of real and imaginary solutions.
9n^2 - 3n - 8= -10
-2x^2 - 8x -14= -6
\(\qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ 9n^2-3n-8=-10\implies 9n^2-3n+2=0 \\\\\\ \stackrel{\stackrel{a}{\downarrow }}{9}n^2\stackrel{\stackrel{b}{\downarrow }}{-3}n\stackrel{\stackrel{c}{\downarrow }}{+2}=0 ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{one solution}\\ positive&\textit{two solutions}\\ negative&\textit{no solution} \end{cases}\)
\((-3)^2-4(9)(2)\implies 9-72\implies -63\leftarrow \stackrel{\textit{two \underline{imaginary} solutions}}{\textit{no real solution}} \\\\[-0.35em] ~\dotfill\\\\ -2x^2-8x-14=-6\implies -2x^2-8x-8=0 \\\\\\ \stackrel{\stackrel{a}{\downarrow }}{-2}x^2\stackrel{\stackrel{b}{\downarrow }}{-8}x\stackrel{\stackrel{-8}{\downarrow }}{-8}=0\qquad \qquad \qquad \qquad (-8)^2-4(-2)(-8) \\\\\\ 64-64\implies 0\leftarrow \textit{one \underline{real} solution}\)
232 - 47 equals to?? a simple subtraction question, just a dot in your vast amount of answered questions but please help me out!
Answer: 185
Steps:
232-47
185.....
Brainliest pls-
Which ordered pair lies on the function f(x) = x2 + 3?
A) (–1,4)
B) (–1,–4)
C) (1,–4)
D) (–4,–1)
Answer:
(-1,4)
Step-by-step explanation:
to find out we just fill in the values to see if it’s true
(x,f(x))
4=-1^2+3
4=1+3
4=4
True
-4=-1^2+3
-4=1+3
-4=4
Not true
-4=1^2+3
-4=1+3
-4=4
Not true
-1=-4^2+3
-1=16+3
-1=19
Not true
Hopes this helps please mark brainliest
Helppp I need the ending numbers ?
The solution is, the simplification of the equation is :
4x^2 - 4 = (2x -2 ) (2x+2)
Here, we have,
given that,
the expression is:
4x^2 - 4
now, we have to simplify this.
we know that ,
The a^2 - b^2 formula is also known as "the difference of squares formula". The a square minus b square is used to find the difference between the two squares without actually calculating the squares.
It is one of the algebraic identities.
It is used to factorize the binomials of squares.
The a^2 - b^2 formula is given as:
a^2 - b^2 = (a - b) (a + b).
so, we have,
4x^2 - 4
= (2x)^2 - 2^2
= (2x -2 ) (2x+2)
Hence, The solution is, the simplification of the equation is :
4x^2 - 4 = (2x -2 ) (2x+2)
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